The Celtic boss is under immense pressure, with many fans calling for his sacking even before the 2-0 home loss on Sunday.
Sky Sports News understands that Lennon will meet with the Celtic hierarchy for more talks – just four days after revealing he received board support following their exit from the Europa League.
Celtic players and staff were given a police escort away from the stadium as an angry crowd of supporters gathered – shouting curses, launching missiles and clashing with police.
Two policemen were injured in the gruesome scenes outside Celtic Park, prompting the Scottish Police helicopter to call.
A member of the Celtic party described the events as “frightening and horrific”. A Celtic statement condemning the violence said some players remained “shaken”.
Celtic find themselves out of Europe, out of the League Cup and trailing the Rangers leaders by 11 points in the Scottish Premiership, with two games in hand, as they continue their ‘holy grail’ of 10 league titles in a row.
Lennon’s side have won just two of their last 10 games. They have also lost four home games in a row – not since 1958.
Despite this, Celtic are on the brink of a historic quadruple triple, if they can beat Hearts in last season’s postponed Scottish Cup final in Hampden next month.
“Too early for me to be sacked”
After the loss to Ross County, Lennon insisted it was “too early” for him to be sacked by Celtic.
When asked if he would understand if Celtic’s board made the decision to pull him on Sunday night, Lennon replied: “No, I think it’s too early for that. We lost a trophy, let’s go. Our priority is the league, it is always is, every time we go into a season.
“We’re outside of Europe so it hasn’t been great, but there is a lot of time to turn things around. But I can say that, we have to show it in action now. I think I should have more time, but if not then so be it. ”
“100% belief in Lennon”
After being knocked out of the Europa League with a 4-1 loss to Sparta Prague, Celtic defender Christopher Jullien gave Lennon his full support.
He said: “I don’t worry about the coach because after the game we still believe in each other, we still believe in the staff, we still believe in the coach.
“He believes in himself 100%. He’s just a great trainer and since I got here he’s done an amazing job, he’s been doing it before and he’s going to do it again.
“I have no doubts. We just have to look at each other. ”